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442143936 = 263213137431
BaseRepresentation
bin11010010110101…
…001010011000000
31010210222020110100
4122112221103000
51401142101221
6111512402400
713646106243
oct3226512300
91123866410
10442143936
11207640313
121040a6400
13707a8c40
1442a1525a
1528c3a926
hex1a5a94c0

442143936 has 168 divisors, whose sum is σ = 1377964224. Its totient is φ = 134737920.

The previous prime is 442143913. The next prime is 442143937. The reversal of 442143936 is 639341244.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 442143936.

It is not an unprimeable number, because it can be changed into a prime (442143937) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1025641 + ... + 1026071.

It is an arithmetic number, because the mean of its divisors is an integer number (8202168).

Almost surely, 2442143936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442143936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688982112).

442143936 is an abundant number, since it is smaller than the sum of its proper divisors (935820288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

442143936 is a wasteful number, since it uses less digits than its factorization.

442143936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 586 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 442143936 is about 21027.2189316609. The cubic root of 442143936 is about 761.8238375916.

The spelling of 442143936 in words is "four hundred forty-two million, one hundred forty-three thousand, nine hundred thirty-six".